Journal article
M. Bastidas, C. Bringedal, I. S. Pop, F. Radu
Journal of Computational Physics, 2021
Journal of Computational Physics, 2021
Semantic Scholar
DBLP
DOI
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APA
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Bastidas, M., Bringedal, C., Pop, I. S., & Radu, F. (2021). Numerical homogenization of non-linear parabolic problems on adaptive meshes. Journal of Computational Physics.
Chicago/Turabian
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Bastidas, M., C. Bringedal, I. S. Pop, and F. Radu. “Numerical Homogenization of Non-Linear Parabolic Problems on Adaptive Meshes.” Journal of Computational Physics (2021).
MLA
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Bastidas, M., et al. “Numerical Homogenization of Non-Linear Parabolic Problems on Adaptive Meshes.” Journal of Computational Physics, 2021.
BibTeX Click to copy
@article{m2021a,
title = {Numerical homogenization of non-linear parabolic problems on adaptive meshes},
year = {2021},
journal = {Journal of Computational Physics},
author = {Bastidas, M. and Bringedal, C. and Pop, I. S. and Radu, F.}
}
Abstract
Abstract We propose an efficient numerical strategy for solving non-linear parabolic problems defined in a heterogeneous porous medium. This scheme is based on the classical homogenization theory and uses a locally mass-conservative formulation at different scales. In addition, we discuss some properties of the proposed non-linear solvers and use an error indicator to perform a local mesh refinement. The main idea is to compute the effective parameters in such a way that the computational complexity is reduced but preserving the accuracy. We illustrate the behavior of the homogenization scheme and of the non-linear solvers by performing two numerical tests. We consider both a quasi-periodic example and a problem involving strong heterogeneities in a non-periodic medium.